Lowest Average Speed of Gases at 25C: H2S

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At 25°C, H2S has the highest molar mass among the gases listed, which suggests it should have the lowest average speed according to the formula sqrt(3RT/M). The discussion confirms that the kinetic energy of each gas molecule is equal at the same temperature, reinforcing that molar mass inversely affects speed. The gases compared are NH3 (17.03 g/mol), O2 (32 g/mol), H2S (34.08 g/mol), and CH4 (16.04 g/mol). Therefore, H2S is indeed expected to have the lowest average speed among these gases. Understanding the relationship between molar mass and molecular speed is crucial in gas behavior analysis.
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Which of the following gases has the lowest average speed at 25C?
a.NH3
b.O2
c.H2S
d.CH4
Is it H2S? Given the formula sqrt(3RT/M), is it not true that the gas with the greatest molar mass will have the lowest speed?
NH3 = 17.03 g/mol
O2 = 32 g/mol
H2S = 34.08 g/mol
CH4 = 16.04 g/mol
Thanks.
 
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Yes, the KE of each molecule (at the same Temperature) is the same.
KE = ½ m v^2 = 3/2 k_B T
If you haven't seen it yet, k_B = k_Boltzmann = R/N_Avagadro
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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